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Popular >

simplify sqrt(1176)

Solution

simplify

1176

Solution

146

+1

Decimal Notation

34.29285 \dots

Solution steps

1176

Prime factorization of

1176 : 2^{3} \cdot 3 \cdot 7^{2}

= 2^{3} \cdot 3 \cdot 7^{2}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

2^{3} \cdot 3 \cdot 7^{2} = 2^{2} \cdot 2 \cdot 3 \cdot 7^{2}

= 2^{2} \cdot 2 \cdot 3 \cdot 7^{2}

2^{2} \cdot 2 \cdot 3 \cdot 7^{2} = 2^{2} 2 \cdot 3 7^{2}

= 2^{2} 2 \cdot 3 7^{2}

Apply radical rule:

a^{2} = a, a \geq 0

2^{2} = 2

= 2 2 \cdot 3 7^{2}

Apply radical rule:

a^{2} = a, a \geq 0

7^{2} = 7

= 2 2 \cdot 3 \cdot 7

Multiply the numbers:

2 \cdot 7 = 14

= 14 2 \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= 146

Popular Examples

simplify 49^{-3/2}simplify

4 9^{- \frac{3}{2}}

simplify (2^{-1})/(2^{-2)}simplify

\frac{2 ^{- 1}}{2 ^{- 2}}

|0.68x+3.46|=|-1.56x+2.62|

∣ 0.68 x + 3.46 ∣ = ∣ - 1.56 x + 2.62 ∣

(2 n)!

q = 180 - \frac{1}{2}

Frequently Asked Questions (FAQ)

What is sqrt(1176) ?
The solution to sqrt(1176) is 14sqrt(6)